Answer:
To find the value of x, we can start by setting up an equation using the perimeter of the triangle.
The perimeter of a triangle is the sum of the lengths of its three sides. In this case, the perimeter is given as 66 cm. So we can write the equation:
(3x + 7) + (2x + 1) + (2x - 5) = 66
Now let's solve this equation to find the value of x:
Combine like terms:
3x + 7 + 2x + 1 + 2x - 5 = 66
7x + 3 = 66
Subtract 3 from both sides:
7x = 66 - 3
7x = 63
Divide both sides by 7:
x = 63 / 7
x = 9
Therefore, the value of x is 9.
Explanation: